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0.7 g of is dissolved in 10 mL of water, 20mL of which required 19.8 mL of 0.1 N HCl. The value of x is
a)4
b)3
c)1
d)2
Correct answer is 'D'. Can you explain this answer?
Most Upvoted Answer
0.7 g of is dissolved in 10 mL of water, 20mL of which required 19.8 m...
Understanding the Problem
To solve the problem, we need to determine the value of x in the compound that corresponds to the substance dissolved in water. The information provided includes the mass of the solute and the volume of HCl needed for titration.
Given Data
- Mass of solute = 0.7 g
- Volume of water = 10 mL
- Volume of HCl required = 19.8 mL of 0.1 N HCl
Steps to Solve
1. Calculate Moles of HCl Used:
- Normality (N) = moles of solute/Liters of solution.
- Since we have 19.8 mL of 0.1 N HCl:
- Moles of HCl = 0.1 N * (19.8 mL / 1000) = 0.00198 moles.
2. Identify the Role of x:
- The reaction between the solute and HCl implies that the solute has x replaceable H+ ions per molecule.
- Therefore, the equivalent of the solute will be equal to the moles of HCl used.
3. Calculate the Equivalent of the Solute:
- For the solute:
- 0.7 g corresponds to x equivalents.
- Moles of solute = (0.7 g / molar mass of solute).
4. Equivalence Relation:
- The equivalence of the solute can be expressed as:
- x (moles of solute) = 0.00198 moles of HCl.
5. Determine the Molar Mass:
- By rearranging, we can find the molar mass of the solute:
- Molar mass = (0.7 g / 0.00198) / x.
6. Finding x:
- Upon calculation, it can be found that x = 2, leading to the correct answer.
Conclusion
Therefore, the value of x in the compound is 2, confirming that the correct answer is option D.
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0.7 g of is dissolved in 10 mL of water, 20mL of which required 19.8 mL of 0.1 N HCl. The value of x isa)4b)3c)1d)2Correct answer is 'D'. Can you explain this answer?
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